Convert the equation x2 + y2 = 1 to spherical coordinates and write in standard form, solving for ρ

Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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Q: 3. Given the function, W=x²+y²-z?, using spherical coordinates equations, find the aw aw dw and дө

A: It is given that, w=x2+y2-z2 It is known, that cartesian coordinates can be written in spherical…

Q: 1. Convert the rectangular equation r2 + y? – 2ax = 0 to polar form and sket ch its grap %3D

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Q: Find the spherical equation of the Cartesian equation x? + y2 +(z - 46)² = 46². O a. rho = 46…

A: The Cartesian equation is  x2+y2+(z-46)2=462

Q: Find the spherical equation of the Cartesian equation x? + y? +(z - 56)2 = 56?. o a. rho = 56…

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Q: Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and

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Q: Convert the rectangular equation to an equation in cylindrical coordinates and to an equation in…

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Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: Find the spherical equation of the Cartesian equation x2 + y2 +(z - 37)2 = 37². a. rho = 37 cos…

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Q: Use spherical coordinates to find [[[, z2 dV.

A: In this question, we find the triple integral by using spherical coordinate with a sketch of solids

Q: H.W 2-Replace the Cartesian equations with equivalent polar equations. 2]. xy = 2 31

A: Coordinates conversation equation x=r cos(theta) y=r sin(theta) r=sqrt(x^2+y^2) y/x =tan(theta)  To…

Q: 2. Convert 1,1, 2 |from rectangular coordinates to spherical coordinates. a. e. я я 2. 4' 2 4' 4 (2)…

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Q: Write the equation in spherical coordinates. (a) 2x2 – 3x + 2y2 + 2z2 = 0 (b) 5x + 4y + 7z = 1

A: To write the given equations in spherical coordinates a 2x2-3x+2y2+2z2=0(b) 5x+4y+7z=1

Q: Find an equation of the form p = f (0, $) in spherical coordinates for the surfac z = 8

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Q: (c) Evaluate zdz dy dr using spherical coordinates.

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

Q: Write the equation in spherical coordinates. (a) 5z? = 3x² + 3y?

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Q: Convert the rectangular equation r +2y? + 2? = 42 + 6x to an 4) equation in cylindrical coordinates.…

A: Consider the rectangular equation: x2+2y2+z2=4z+6x. To convert rectangular equation into equation in…

Q: C) Convert the equation 5x2 + 2y2 = 3z to spherical coordinates. %3D

A: Use the relation between and spherical coordinate and cartesian coordinates.

Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x² +y²…

A: Explanation of the answer is as follows

Q: Convert the following from rectangular (Cartesian) coordinates to spherical Coordinates. (-V3, -3,…

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Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  x2…

A: Solution:- x2-y2=4 x=ρ sinφ cosθ y=ρ sinφ sinθ   ρ sinφ cosθ2-ρ sinφ sinθ2=4 ρ2 sin2φ cos2θ-ρ2 sin2φ…

Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0 <e< 2n. (9v3, -9)

A: The objective is to convert the rectangular coordinate to polar coordinate .

Q: Write the equation in spherical coordinates. (a) z2  = x2 + y2

A: Given the equation:

Q: Convert the equation x2 + y2 = 4 to spherical coordinates and write in standard form, solving for p.…

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Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2. +…

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Q: The spherical coordinate equation of (x – 4)² + y² + z? = 16 is p= 8sinØcose

A: The spherical coordinates are given by  x=ρcosθsinφy=ρsinθsinφz=ρcosφ The given equation is…

Q: (a) Write the equation 3x2 + 3y? +3z2 - 15 = 0 in spherical coordinates (b) What does this equation…

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Q: Write the equations in spherical coordinates 3x+4y+7z=1

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Q: Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2, 5, 1) (b)…

A: Solution:-

Q: Rewrite the equation in (a) cylindrical and (b) spherical coordinates. 4x? + 4y? + 9z² = 36.

A: In the  Cylindrical co-ordinate system  a point in space is represented by the ordered triple…

Q: Write the equation in spherical coordinates. 9. (a) x2 + y2 +z2 = 9   (b )x2 - y2 - z2 = 1

A: Here we have to write the equation in spherical coordinates. 9. (a) x2 + y2 +z2 = 9   (b )x2 - y2 -…

Q: write the equation x=20 in spherical form and solve for p

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Q: Write the equation in spherical coordinates. 2x2 - 3х + 2y2+ 22? (a) = 0 3p(p sin(p)cos (0)) 2 2х +…

A: Consider the following spherical coordinates.

Q: Find a spherical coordinate equation for the sphere x² + y? + (z – 1)² = 1

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

Q: Convert the following rectangular equation: x^2 + y^2 = z^2 into spherical coordinates.

A: Given equation is x2+y2=z2  ....1

Q: Convert the equation 5x² + 2y² = 3z to spherical coordinates. 3z to sphet For spherical coordinates,…

A: Any point in the rectangular coordinate system is represented as x, y, z. Any point in the spherical…

Q: Convert the equation 5x2 + 2y? = 3z to spherical and cylindrical coordinates.

A: We have the following facts:

Q: The equation p =- in spherical coordinates 5 represents sphere.

A: This is a problem of spherical coordinate system, vector calculus.

Q: C) Convert the equation 5x2 + 2y2 3z to spherical coordinates. %3D

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Convert the given Cartesian equation into an equation in terms of polar coordinates.

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Q: Convert the rectangular equation x2 + y2 = 4y to an equation in (a) cylindrical coordinates and (b)…

A: Given- x2+y2=4y To find- An equation in (a) cylindrical coordinates and (b) spherical coordinates.…

Q: Convert the following point from Spherical Coordinates to Rectangular Coordinates.13 (ahải 2)

A: ρ, θ, ϕ=4, π4, π3 Therefore, ρ=4, θ=π4, ϕ=π3

Q: Write the equation in spherical coordinates. (a) x2 + y2 + z2 =9 (b) x2 - y2 - z2 =1

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Q: (d) Convert from spherical coordinates to rectangular coordinate (12, –7/4,0)

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Q: Convert the given Cartesian equation into an equation in terms of polar coordinates.…

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Q: Change the spherical equation below into cylindrical coordinates! tan2(Φ) = 1

A: Any point in the cylindrical coordinate system is represented as r,θ,z . Any point in the spherical…